I used SketchUp to design and build a 400 square foot house on a slab. The trailer options I looked at were more expensive and with the added difficulty of load balancing and securing the house for transport. If you are not traveling frequently, it may be less costly to build on skids or pier and beam, then pull the house onto a flatbed truck to move it.
RE: Learning SketchUp - Great Pains for a Tiny House